1. Objectives Apply ASA, AAS, and HL to solve problems.
Prove triangles congruent by using ASA, AAS, and HL.

2. An ____________is the common side of two consecutive angles in a polygon. The following postulate uses the idea of an included side.

4. Example 1A: Applying ASA Congruence
Determine if you can use ASA to prove the triangles congruent. Explain.

5. Check It Out! Example 1B
Determine if you can use ASA to prove NKL  LMN. Explain.

6. You can use the Third Angles Theorem to prove another congruence relationship based on ASA. This theorem is Angle-Angle-Side (AAS).

8. Example 2A: Applying HL Congruence
Determine if you can use the HL Congruence Theorem to prove the triangles congruent. If not, tell what else you need to know.

9. Example 2B: Applying HL Congruence

10. Check It Out! Example 2C
Determine if you can use the HL Congruence Theorem to prove ABC  DCB. If not, tell what else you need to know.

12. Example 3A: Using AAS to Prove Triangles Congruent
Use AAS to prove the triangles congruent.
Given: X  V, YZW  YWZ, XY  VY
Prove:  XYZ  VYW

13. Check It Out! Example 3B
Use AAS to prove the triangles congruent.
Given: JL bisects KLM, K  M
Prove: JKL  JML